a question on linear programming

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Q1. 1. Recall the production model from Section 1.3: Max 10x s.t. 5x≤40 x≥0 Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of production time for each unit produced. Use y as the number of units of product 2 produced. a. Show the mathematical model when both products are considered simultaneously. b. Identify the controllable and uncontrollable inputs for this model. c. What are the optimal solution values of x and y?(You may consider using the Linear Programming module of either Management Scientist/POM-QM or LINDO Is the model developed in part (a) a deterministic or a stochastic model? Explain. Q2. . Solve the linear program that you obtained in part (e) of question 3 using the Linear Programming module of either Management Scientist/POM-QM or LINDO. Report the optimal values of the decision variables (x and y) and also the optimal objective function value Part e answers are; Y 0, Y>0 Q3. Solve the linear program that you obtained in question 5 (Question # 5) using the Linear Programming module of either Management Scientist/POM-QM or LINDO. Report the optimal values of the decision variables (x and y) and also the optimal objective function value. Were any of the possible funds available for investment in Oil Alaska or Southwest Petroleum left unused? Part 5 answers are 50x+30y≤800000 50x≤500000 30y≤450000
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Linear programming questions
Q1.Recall the production model from Section 1.3
Max 10x
s.t.
5x≤40
x≥0
Suppose the firm in this example considers a second product that has a unit profit of $5 and
requires 2 hours of production time for each unit produced. Use y as the number of units of
product 2 produced.
a.

Show the mathemat...

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